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Finding the Fourth Proportional to 12,699, 17,524.62 and 7,731

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Solution

The fourth proportional to 12,699, 17,524.62 and 7,731 is: 10,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699 : 17,524.62 = 7,731 : x
  2. Step 2: Convert to fraction form
    12,699/17,524.62 = 7,731/x
  3. Step 3: Cross multiply
    12,699x = 17,524.62 × 7,731
  4. Step 4: Simplify right side
    12,699x = 135,482,837.22
  5. Step 5: Solve for x
    x = 135,482,837.22/12,699
  6. Step 6: Final answer
    x = 10,668.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.